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In Problems 13–24, find the exact value of each expression.

tan-1 0

Short Answer

Expert verified

The exact value of tan-1 0 is 0.

Step by step solution

01

Step 1. Given Information:  

Given expression:tan-1 0

We want to find the exact value of given expression.

02

Step 2. Solution:  

The given expression can be rewritten as:

tan-10=y;-Ï€2<y<Ï€2

Hence we get tan (y) = 0

Since we have tan-1 function initially, the bounds on the tan function are going to be in the interval -Ï€2,Ï€2 which represents the range of tan-1 function.

Using the unit circle, we know that in order to get 0 , y must be equal to 0.

Hence, we get tan-1 0 = 0.

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